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4/x+10=4/x-3
We move all terms to the left:
4/x+10-(4/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
4/x-4/x+3+10=0
We multiply all the terms by the denominator
3*x+10*x+4-4=0
We add all the numbers together, and all the variables
13x=0
x=0/13
x=0
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